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Finding the Fourth Proportional to 478,144.85, 716,738.07 and 222,157.26

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Solution

The fourth proportional to 478,144.85, 716,738.07 and 222,157.26 is: 333,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,144.85 : 716,738.07 = 222,157.26 : x
  2. Step 2: Convert to fraction form
    478,144.85/716,738.07 = 222,157.26/x
  3. Step 3: Cross multiply
    478,144.85x = 716,738.07 × 222,157.26
  4. Step 4: Simplify right side
    478,144.85x = 159,228,567,560.73
  5. Step 5: Solve for x
    x = 159,228,567,560.73/478,144.85
  6. Step 6: Final answer
    x = 333,013.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.